Marshall buys a 40 ounce bag of ground coffee for his coffee machine. he uses 5 ounces of coffee each week
time : A,4,D,X
amount of coffee beans: B,C,0,E
Define units for the time that Marshall has the beans and the amount of coffee beans that Marshall has left.
A -
B -
After 4 weeks, how much coffee does Marshall have left?
C -
How many weeks will it take until Marshall is out of coffee beans?
D -
Using x to represent the time that Marshall bought his coffee beans, write an expression to determine the amount of coffee he has left.
E -
plz help me i need to pass this year
A - Weeks
B - Ounces
C - 20 ounces
D - 8 weeks
E - (40 - 5x) ounces
After 4 weeks, Marshall would have 20 ounces of coffee left.
It will take Marshall 8 weeks until he runs out of coffee beans.
The expression to determine the amount of coffee he has left after x weeks is (40 - 5x) ounces.
A - Time (in weeks) that Marshall has the beans
B - Amount of coffee beans (in ounces) that Marshall has initially
C - Amount of coffee beans (in ounces) that Marshall has left after 4 weeks
D - Time (in weeks) until Marshall is out of coffee beans
E - Expression to determine the amount of coffee Marshall has left after x weeks
Since Marshall uses 5 ounces of coffee each week, the expression for the amount of coffee he has left after x weeks is:
E = B - 5x
To find out how much coffee Marshall has left after 4 weeks, substitute x = 4 into the expression:
C = B - 5(4) = B - 20
To find out how many weeks it will take until Marshall is out of coffee beans, set the expression equal to zero:
0 = B - 5D
From this equation, solve for D:
D = B/5
To solve these problems, let's define the units for time and the amount of coffee beans:
A - Time units: weeks
B - Coffee bean units: ounces
Now let's solve the questions:
Question 1: After 4 weeks, how much coffee does Marshall have left? (C)
Since Marshall uses 5 ounces of coffee each week, after 4 weeks, he will have used 4 * 5 = 20 ounces of coffee. Since he initially bought a 40 ounce bag of coffee, the amount of coffee he has left is 40 - 20 = 20 ounces.
Therefore, the answer to question 1 is C = 20.
Question 2: How many weeks will it take until Marshall is out of coffee beans? (D)
Because Marshall uses 5 ounces of coffee each week, we can determine the number of weeks it will take until he is out of coffee beans by dividing the initial amount of coffee (40 ounces) by the weekly consumption (5 ounces).
Thus, D = 40 / 5 = 8 weeks.
Question 3: Using x to represent the time Marshall bought his coffee beans, write an expression to determine the amount of coffee he has left. (E)
To express the amount of coffee Marshall has left in terms of the time (x), we can use the formula:
E = 40 - 5x
Here, x represents the number of weeks since Marshall bought the coffee beans.
For example, if he bought them 3 weeks ago, the expression becomes E = 40 - 5 * 3 = 40 - 15 = 25 ounces of coffee left.
Please note that in these calculations, we assumed that Marshall consistently uses the same amount of coffee each week.
A - Weeks
B - Ounces
C - 20 ounces
D - 8 weeks
E - 40 - 5x